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Finding the Fourth Proportional to 206,720.13, 310,080.26 and 66,478.75

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Solution

The fourth proportional to 206,720.13, 310,080.26 and 66,478.75 is: 99,718.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,720.13 : 310,080.26 = 66,478.75 : x
  2. Step 2: Convert to fraction form
    206,720.13/310,080.26 = 66,478.75/x
  3. Step 3: Cross multiply
    206,720.13x = 310,080.26 × 66,478.75
  4. Step 4: Simplify right side
    206,720.13x = 20,613,748,084.48
  5. Step 5: Solve for x
    x = 20,613,748,084.48/206,720.13
  6. Step 6: Final answer
    x = 99,718.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.